Answer:
Find out the which expression shows the length of each piece .
To prove
As given
A 12 foot board is split into 5 equal pieces.
Than
Here
Total length of board = 12 foot
Total number of pieces = 5
Therefore the length of each pieces is 2.4 foot.
First, find the ratio between the two polygons. Lets take segment MG and TV since they are congruent. MG is 4, TV is 3. The ratio of MG to TV is 4:3. We can write it as 4/3. Since other arts are congruent as well, then NK is congruent to PR, and has a ratio of 4:3. This means that (3x-2)/(x+4) is equal to 4/3. Now solve for x
(3x-2)/(x+4)=4/3
3(3x-2)=4(x+4) ---cross multiply
9x-6=4x+16
9x-4x-6=4x-4x+16 ---subtract 4x from both sides
5x-6=16
5x-6+6=16+6 ---add 6 on both sides
5x=22
5x/5=22/5 ---divide 5 on both sides
x=22/5
You have -4,-3,-2, that is a 3 out of a total of 21 points or numbers on the number line. 3/21 is reduces to 1/7.
3 goes into 21 , 7 times. That is why it reduces to 1/7.
Answer:
Real numbers are "closed" under multiplication
Irrational numbers are "not closed" under division
Integers are "closed" under subtraction
Positive ration numbers are "closed"
Hope this helps! :)